\(\rm \left(\frac{1}{2}\right)^{-\frac{1}{2}} \) is equal to:

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MP Vyapam Group 4 (Assistant Grade-3/Stenographer) Official Paper (Held On: 16 July, 2023 Shift 1)
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  1. \(\rm \frac{1}{\sqrt2}\)
  2. 2√2
  3. -√2
  4. √2

Answer (Detailed Solution Below)

Option 4 : √2
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Detailed Solution

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Given:

\(\left(\frac{1}{2}\right)^{-\frac{1}{2}} \)

Formula used:

(a/b)-n = (b/a)n

Calculation:

\(\left(\frac{1}{2}\right)^{-\frac{1}{2}} \) = \(\left(\frac{2}{1}\right)^{\frac{1}{2}} \) = 21/2 = √2

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